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Finding the Fourth Proportional to 2,497.81, 3,745.58 and 936.61

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Solution

The fourth proportional to 2,497.81, 3,745.58 and 936.61 is: 1,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.81 : 3,745.58 = 936.61 : x
  2. Step 2: Convert to fraction form
    2,497.81/3,745.58 = 936.61/x
  3. Step 3: Cross multiply
    2,497.81x = 3,745.58 × 936.61
  4. Step 4: Simplify right side
    2,497.81x = 3,508,143.00
  5. Step 5: Solve for x
    x = 3,508,143.00/2,497.81
  6. Step 6: Final answer
    x = 1,404.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.